Ruslan L Davidchack

Professor of Mathematical Modelling and Computation, Head of Department
Ruslan Davidchack

Contact details:
Address: Department of Mathematics, University of Leicester, Leicester, LE1 7RH
Office: 002 College House
Tel: +44 (0) 116 252 3819
E-mail: rld8@leicester.ac.uk
Google Scholar Profile

Research

My research interests are in developing computational methods and tools for applications in molecular simulations, nonlinear dynamics, and signal processing.

Molecular simulation
Structural and dynamic properties of solid-liquid interfaces
Calculating free energy of solid-liquid interfaces
Estimating thermodynamic errors of numerical integrators for molecular dynamics

Nonlinear dynamics
Methods for locating unstable periodic orbits in chaotic dynamical systems
Symbolic dynamics, generating partitions, and homoclinic tangencies in non-hyperbolic chaotic systems
Transition to chaos with multiple positive Lyapunov exponents (sometimes called "hyper-chaos")
Chaotic transitions in semiconductor lasers subject to delayed optical feedback

Measurements and data processing
Analog representation of a measurement process
Implementation of nonlinear filters for continuous measurement processes

Selected Papers

On the State Space Geometry of the Kuramoto–Sivashinsky Flow in a Periodic Domain
Predrag Cvitanović, Ruslan L. Davidchack, and Evangelos Siminos, SIAM J. Appl. Dyn. Syst. 9, 1-33 (2010).

Langevin thermostat for rigid body dynamics
Ruslan L. Davidchack, Richard Handel, and M. V. Tretyakov, J. Chem. Phys. 130, 234101 (2009). Cover image

Direct Calculation of Solid-Liquid Interfacial Free Energy for Molecular Systems: TIP4P Ice-Water Interface
Richard Handel, Ruslan L. Davidchack, Jamshed Anwar, and Andrey Brukhno, Phys. Rev. Lett. 100, 036104 (2008).

Crystal structure and interaction dependence of the crystal-melt interfacial free energy
Ruslan L. Davidchack and Brian B. Laird, Phys. Rev. Lett. 94, 086102 (2005).

Signal analysis through analog representation
Alexei V. Nikitin and Ruslan L. Davidchack, Proc. Roy. Soc. Lond. A 459, 1171-1192 (2003).

Direct calculation of the hard-sphere crystal/melt interfacial free energy
Ruslan L. Davidchack and Brian B. Laird, Phys. Rev. Lett. 85, 4751-4754 (2000).

Chaotic transitions and low frequency fluctuations in semiconductor lasers with optical feedback
Ruslan L. Davidchack, Ying-Cheng Lai, Athanasios Gavrielides, and Vassilios Kovanis, Physica D 145, 130-143 (2000).

Efficient algorithm for detecting unstable periodic orbits in chaotic systems
Ruslan L. Davidchack and Ying-Cheng Lai, Phys. Rev. E 60, 6172-6175 (1999).

Estimating generating partitions of chaotic systems by unstable periodic orbits
Ruslan L. Davidchack, Ying-Cheng Lai, Erik M. Bollt, and Mukeshwar Dhamala, Phys. Rev. E 61, 1353-1356 (2000).

Complete list of publications


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Contact details

Department of Mathematics
University of Leicester
University Road
Leicester LE1 7RH
United Kingdom

Tel.: +44 (0)116 252 3917
Fax: +44 (0)116 252 3915

Campus Based Courses

Undergraduate: mathsug@le.ac.uk
Postgraduate Taught: mathspg@le.ac.uk

Postgraduate Research: pgrmeccluster@le.ac.uk

Distance Learning Course  

Actuarial Science: actsciadmin@le.ac.uk